from random import randint, random




def 	_UpperCamelCase (      snake_case__,     snake_case__,     snake_case__,     snake_case__ = False,     snake_case__ = False,     snake_case__ = 5,     )    -> list:
							__UpperCAmelCase    :      Optional[Any]       = [[-1] * number_of_cells]  # Create a highway without any car
							__UpperCAmelCase    :      Any       = 0
							__UpperCAmelCase    :      List[str]       = max(_lowerCamelCase,     0				)
							while i < number_of_cells:
														__UpperCAmelCase    :      str       = (
														    randint(0,     _lowerCamelCase				) if random_speed else initial_speed
														)  # Place the cars
														i += (
														    randint(1,     max_speed * 2				) if random_frequency else frequency
														)  # Arbitrary number, may need tuning
							return highway




def 	_UpperCamelCase (      snake_case__,     snake_case__				)    -> int:
							__UpperCAmelCase    :      Any       = 0
							__UpperCAmelCase    :      Any       = highway_now[car_index + 1 :]
							for cell in range(len(_lowerCamelCase				)				):  # May need a better name for this
														if cells[cell] != -1:  # If the cell is not empty then
																					return distance  # we have the distance we wanted
														distance += 1
							# Here if the car is near the end of the highway
							return distance + get_distance(_lowerCamelCase,     -1				)




def 	_UpperCamelCase (      snake_case__,     snake_case__,     snake_case__				)    -> list:
							__UpperCAmelCase    :      str       = len(_lowerCamelCase				)
							# Beforce calculations, the highway is empty
							__UpperCAmelCase    :      Any       = [-1] * number_of_cells

							for car_index in range(_lowerCamelCase				):
														if highway_now[car_index] != -1:
																					# Add 1 to the current speed of the car and cap the speed
																					__UpperCAmelCase    :      Optional[int]       = min(highway_now[car_index] + 1,     _lowerCamelCase				)
																					# Number of empty cell before the next car
																					__UpperCAmelCase    :      Optional[int]       = get_distance(_lowerCamelCase,     _lowerCamelCase				) - 1
																					# We can't have the car causing an accident
																					__UpperCAmelCase    :      Union[str, Any]       = min(next_highway[car_index],     _lowerCamelCase				)
																					if random() < probability:
																												# Randomly, a driver will slow down
																												__UpperCAmelCase    :      Tuple       = max(next_highway[car_index] - 1,     0				)
							return next_highway




def 	_UpperCamelCase (      snake_case__,     snake_case__,     snake_case__,     snake_case__				)    -> list:
							__UpperCAmelCase    :      Tuple       = len(highway[0]				)

							for i in range(_lowerCamelCase				):
														__UpperCAmelCase    :      List[Any]       = update(highway[i],     _lowerCamelCase,     _lowerCamelCase				)
														__UpperCAmelCase    :      Dict       = [-1] * number_of_cells

														for car_index in range(_lowerCamelCase				):
																					__UpperCAmelCase    :      List[Any]       = next_speeds_calculated[car_index]
																					if speed != -1:
																												# Change the position based on the speed (with % to create the loop)
																												__UpperCAmelCase    :      Dict       = (car_index + speed) % number_of_cells
																												# Commit the change of position
																												__UpperCAmelCase    :      Optional[int]       = speed
														highway.append(_lowerCamelCase				)

							return highway


if __name__ == "__main__":
	import doctest

	doctest.testmod()












"""simple docstring"""





def 	lowerCamelCase__			(				_lowerCamelCase			:						list[list[int | float]]					) ->							int:
  lowerCamelCase_       	=		len(_lowerCamelCase					)
  lowerCamelCase_       	=		len(matrix[0]					)
  lowerCamelCase_       	=		min(_lowerCamelCase						,							_lowerCamelCase					)

  for row in range(_lowerCamelCase					):
    # Check if diagonal element is not zero
    if matrix[row][row] != 0:
      # Eliminate all the elements below the diagonal
      for col in range(row + 1						,							_lowerCamelCase					):
        lowerCamelCase_       	=		matrix[col][row] / matrix[row][row]
        for i in range(_lowerCamelCase						,							_lowerCamelCase					):
          matrix[col][i] -= multiplier * matrix[row][i]
    else:
      # Find a non-zero diagonal element to swap rows
      lowerCamelCase_       	=		True
      for i in range(row + 1						,							_lowerCamelCase					):
        if matrix[i][row] != 0:
          lowerCamelCase_	,      lowerCamelCase_       	=		matrix[i], matrix[row]
          lowerCamelCase_       	=		False
          break
      if reduce:
        rank -= 1
        for i in range(_lowerCamelCase					):
          lowerCamelCase_       	=		matrix[i][rank]

            # Reduce the row pointer by one to stay on the same row
      row -= 1

  return rank


if __name__ == "__main__":
  import doctest

  doctest.testmod()




